Algebraic derivations on affine domains
Algebraic Geometry
2013-03-07 v2
Abstract
We observe algebraic derivations on an affine domain B defined over an algebraically closed field of characteristic 0, which are called locally finite derivations in commutative and non-commutative contexts in other references. We observe the graded ring structure which the algebraic derivation defines on B, and give characterizations of a polynomial ring in two variables in terms of algebraic derivations.
Cite
@article{arxiv.1301.3259,
title = {Algebraic derivations on affine domains},
author = {Kayo Masuda and Masayoshi Miyanishi},
journal= {arXiv preprint arXiv:1301.3259},
year = {2013}
}
Comments
to appear in the proceedings of CAAG 2010, Bangalore